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' | <head>Prefat. (18<lb/> | ||
Examination of Euclid's V Definition.</head> | |||
<p><note>Euclid's Def.<lb/> | |||
<del>obliged</del> depends<lb/> | |||
ultimately on the<lb/> | |||
New one</note><lb/> | |||
little need is there of augmented degree of it.<lb/> | |||
you are obliged by this definition to ascertain <lb/> | |||
if two Quantities be equal to one other at least<lb/> | |||
without any <gap/> how to do it.</p> | |||
<p><unclear>Shew</unclear> what is to ascertain if 2 quantities be<lb/> | |||
equal or no. but to ascertain if the <lb/> | |||
Proportion one bears to the other be that <lb/> | |||
of equality or Inequality.</p> | |||
<p> It is necessary then you should have the <lb/> | |||
knowledge <del>to</del> you are to derive from the definition <note>how</note><lb/> | |||
previous to your understanding the definition.</p> | |||
<p>When is it <unclear>you</unclear> <del><gap/></del>to pronounce<lb/> | |||
one quantity equal to another.</p> | |||
<p><del>Must you not be<sic> contuted </sic> with assuming some <lb/> | |||
one common measure which was the quantity of</del> </p> | |||
<p><add>Which</add> Is it not by ascertaining if each contains the same<lb/> number of an assumed common measure the quantity <lb/> | |||
of which is agreed to be<hi rend='underline'> Inconsiderable?</hi></p> | |||
<p><note>Summing up<lb/> | |||
of the Comparison<lb/> | |||
of the 2 Definitions</note><lb/> | |||
Euclid's definition depends on the truth of a <lb/> | |||
demonstration and proposition.<lb/> | |||
The new one on one Axiom.</p> | |||
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{{Metadata:{{PAGENAME}}}} | {{Metadata:{{PAGENAME}}}} | ||
Prefat. (18
Examination of Euclid's V Definition.
Euclid's Def.
obliged depends
ultimately on the
New one
little need is there of augmented degree of it.
you are obliged by this definition to ascertain
if two Quantities be equal to one other at least
without any how to do it.
Shew what is to ascertain if 2 quantities be
equal or no. but to ascertain if the
Proportion one bears to the other be that
of equality or Inequality.
It is necessary then you should have the
knowledge to you are to derive from the definition how
previous to your understanding the definition.
When is it you to pronounce
one quantity equal to another.
Must you not be contuted with assuming some
one common measure which was the quantity of
Which Is it not by ascertaining if each contains the same
number of an assumed common measure the quantity
of which is agreed to be Inconsiderable?
Summing up
of the Comparison
of the 2 Definitions
Euclid's definition depends on the truth of a
demonstration and proposition.
The new one on one Axiom.
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Identifier: | JB/135/041/002"JB/" can not be assigned to a declared number type with value 135. |
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not numbered |
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135 |
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041 |
prefat. |
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002 |
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copy/fair copy sheet |
2 |
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recto |
f17 / f18 / f19 / f20 |
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sir samuel bentham |
[[watermarks::[gr with crown] [pro patria motif]]] |
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46159 |
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